A loss random variable X has a uniform distribution on the interval [0, 1000]. Determine the expected value of the insurer's payment if there is a deductible of 100 and a policy limit of 300.

Cadbury has a chocolate factory in dunedin, new zealand. for easter, it makes two kinds of “easter eggs”: milk chocolate and dark chocolate. it cycles between producing milk and dark chocolate eggs. the table below provides data on these two products. demand (lbs per hour) milk: 500 dark: 200 switchover time (minutes) milk: 60 dark: 30 production rate per hour milk: 800 dark: 800 for example, it takes 30 minutes to switch production from milk to dark chocolate. demand for milk chocolate is higher (500lbs per hour versus 200 lbs per hour), but the line produces them at the same rate (when operating): 800 lbs per hour. a : suppose cadbury produces 2,334lbs milk chocolate and 1,652 lbs of dark chocolate in each cycle. what would be the maximum inventory (lbs) of milk chocolate? b : how many lbs of milk and dark chocolate should be produced with each cycle so as to satisfy demand while minimizing inventory?

Q3. loral corporation manufactures parts for an aircraft company. it uses a computerized numerical controlled (cnc) machining center to produce a specific part that has a design (nominal) target of 1.275 inches with tolerances of ± 0.020 inch. the cnc process that manufactures these parts has a mean of 1.285 inches and a standard deviation of 0.005 inch. compute the process capability ratio and process capability index, and comment on the overall capability of the process to meet the design specifications.

Acompany's sales in year 1 were $300,000, year 2 were $351,000, and year 3 were $400,000. using year 2 as a base year, the sales percent for year 3 is